Answer:
The value of x = 9
Step-by-step explanation:
Given the angles of the triangle
We know that the sum of angles of a triangle is 180°.
Therefore,
(13x+2)° + (5x-7)° + (3x-4)° = 180°
13x+2 + 5x-7 + 3x-4 = 180°
21x + 2 - 11 = 180°
21x - 9 = 180°
21x = 180° + 9
21x = 189
divide both side sby 21
21x/21 = 189/21
x = 9
Therefore, the value of x = 9
Two figure in front
h=16+17 = 33 m
l=18 m
width = 13 m
Volume = lwh = 18*13*33 =7722 m^2
Two figures at the back
h=16 m
l=18+18 =36 m
width = 15 m
Volume = lwh =36*15*16 =8640 m^2
Total volume = 7722+8640 = 16362 m^2
Answer:
-a+-2b+4c
Step-by-step explanation:
Combine like terms
-4a+ 3a= -a
b+ -3b= -2b
3c+ c= 4c
Answer:
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
Remember that Interest is equal to


Answer:
True
Step-by-step explanation:
A six sigma level has a lower and upper specification limits between
and
. It means that the probability of finding no defects in a process is, considering 12 significant figures, for values symmetrically covered for standard deviations from the mean of a normal distribution:

For those with defects <em>operating at a 6 sigma level, </em>the probability is:

Similarly, for finding <em>no defects</em> in a 5 sigma level, we have:
.
The probability of defects is:

Well, the defects present in a six sigma level and a five sigma level are, respectively:
Then, comparing both fractions, we can confirm that a <em>6 sigma level is markedly different when it comes to the number of defects present:</em>
[1]
[2]
Comparing [1] and [2], a six sigma process has <em>2 defects per billion</em> opportunities, whereas a five sigma process has <em>600 defects per billion</em> opportunities.